Model of the optimal control of funds and competitiveness of the information-communication company

A two-level hierarchical organization system is used to consider a model for the optimal control of funds and competitive ability of an information–communication company. The model is based on a control problem for ordinary differential equations (that characterize the dynamics of funds) and on an i...

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Veröffentlicht in:	Cybernetics and systems analysis 2012-09, Vol.48 (5), p.722-735
Hauptverfasser:	Akimenko, V. V., Yefimenko, A. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Artificial Intelligence Communication channels Communications systems Competition Control Control systems Control theory Corporate finance Cybernetics Decision making Differential equations Dynamical systems Dynamics Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Optimal control Ordinary differential equations Processor Architectures Resource management Software Engineering/Programming and Operating Systems Studies Systems Theory
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Beschreibung
Zusammenfassung:	A two-level hierarchical organization system is used to consider a model for the optimal control of funds and competitive ability of an information–communication company. The model is based on a control problem for ordinary differential equations (that characterize the dynamics of funds) and on an initial–boundary-value problem for multidimensional quasilinear parabolic Lotka–Volterra equations (that describe the sales dynamics of competitive companies) and uses methods of optimal control for distributed-parameter systems. The sufficient existence conditions are established for the optimal control and a stable numerical algorithm is developed to search for optimal control functions.
ISSN:	1060-0396 1573-8337
DOI:	10.1007/s10559-012-9452-5